An efficient formulation of Chebyshev tau method for constant coefficients systems of multi-order FDEs
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Publication:2291925
DOI10.1007/s10915-019-01104-zzbMath1429.65146OpenAlexW2998975814MaRDI QIDQ2291925
Publication date: 31 January 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-019-01104-z
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80) Fractional ordinary differential equations (34A08)
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Non-linear system of multi-order fractional differential equations: theoretical analysis and a robust fractional Galerkin implementation ⋮ Generalized Lucas tau method for the numerical treatment of the one and two-dimensional partial differential heat equation ⋮ A spectral approach to non-linear weakly singular fractional integro-differential equations ⋮ Newfangled linearization formula of certain nonsymmetric Jacobi polynomials: numerical treatment of nonlinear Fisher's equation ⋮ Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs ⋮ A new fractional collocation method for a system of multi-order fractional differential equations with variable coefficients ⋮ A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay ⋮ A novel Petrov-Galerkin method for a class of linear systems of fractional differential equations ⋮ A fractional version of the recursive tau method for solving a general class of Abel-Volterra integral equations systems
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